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Finding the Third Proportional to 87,411 and 187,285.50

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Solution

The third proportional to 87,411 and 187,285.50 is: 401,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,411 : 187,285.50 = 187,285.50 : x
  2. Step 2: Convert to fraction form
    87,411/187,285.50 = 187,285.50/x
  3. Step 3: Cross multiply
    87,411x = 187,285.50 × 187,285.50
  4. Step 4: Simplify right side
    87,411x = 35,075,858,510.25
  5. Step 5: Solve for x
    x = 35,075,858,510.25/87,411
  6. Step 6: Final answer
    x = 401,275.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.